Wan, MinpingServidio, SergioOughton, SeanMatthaeus, William H.2014-04-022014-04-0220092009Wan, M., Servidio, S., Oughton, S., & Matthaeus, W. H. (2009). The third-order law for increments in magnetohydrodynamic turbulence with constant shear. Physics of Plasmas, 16, 090703.https://hdl.handle.net/10289/8591We extend the theory for third-order structure functions in homogeneous incompressible magnetohydrodynamic turbulence to the case in which a constant velocity shear is present. A generalization is found of the usual relation Politano and Pouquet, Phys. Rev. E 57, 21 1998 between third-order structure functions and the dissipation rate in steady inertial range turbulence, in which the shear plays a crucial role. In particular, the presence of shear leads to a third-order law which is notsimply proportional to the relative separation. Possible implications for laboratory and space plasmas are discussed.application/pdfen© 2009 American Institute of Physics.magnetohydrodynamic turbulenceJournal Article10.1063/1.3240333